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Finding the Fourth Proportional to 103,026.88, 154,528.32 and 28,144

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Solution

The fourth proportional to 103,026.88, 154,528.32 and 28,144 is: 42,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,026.88 : 154,528.32 = 28,144 : x
  2. Step 2: Convert to fraction form
    103,026.88/154,528.32 = 28,144/x
  3. Step 3: Cross multiply
    103,026.88x = 154,528.32 × 28,144
  4. Step 4: Simplify right side
    103,026.88x = 4,349,045,038.08
  5. Step 5: Solve for x
    x = 4,349,045,038.08/103,026.88
  6. Step 6: Final answer
    x = 42,212.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.